where \(\mu \)  is the viscosity; \(_{\zeta }\)  and \(_{\zeta \zeta }\)  denote the first and second derivatives with respect to the spatial variable \(\zeta \) , and the equation is also subject to a boundary condition. We have taken the data from [1]}, followed by artificially corrupting them using various levels of Gaussian white noise.
In brief, the measurements are collected at 256 grid point in the domain \(\zeta \in [-8,8]\)  and at the time interval \(\text{\sffamily {d}}t=0.1\) . For more details, we refer to [1]}.
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